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포화상태 풀비등시 단일기포의 성장에 관한 연구

Study on the Single Bubble Growth During Nucleate Boiling at Saturated Pool


Nucleate boiling experiments on heating surface of constant wall temperature were performed using R113 for almost saturated pool boiling conditions. A microscale heater array and Wheatstone bridge circuits were used to maintain a constant wall temperature condition of heating surface and to measure the heat flow rate with high temporal and spatial resolutions. Bubble images during the bubble growth were taken as 5000 frames per second using a high-speed CCD camera synchronized with the heat flow rate measurements. The bubble growth behavior was analyzed using the new dimensionless parameters for each growth regions to permit comparisons with previous experimental results at the same scale. We found that the new dimensionless parameters can describe the whole growth region as initial and later (thermal) respectively. The comparisons showed good agreement in the initial and thermal growth regions. In the initial growth region including surface tension controlled, transition and inertia controlled regions as divided by Robinson and Judd, the bubble growth rate showed that the bubble radius was proportional to $t^{2/3}$ regardless of working fluids and heating conditions. And in the thermal growth region as also called asymptotic region, the bubble showed a growth rate that was proportional to $t^{1/5}$, also. Those growth rates were slower than the growth rates proposed in previous analytical analyses. The required heat flow rate for the volume change of the observed bubble was estimated to be larger than the heat flow rate measured at the wall. Heat, which is different from the instantaneous heat supplied through the heating wall, can be estimated as being transferred through the interface between bubble and liquid even with saturated pool condition. This phenomenon under a saturated pool condition needs to be analyzed and the data from this study can supply the good experimental data with the precise boundary condition (constant wall temperature).

참고문헌 (23)

  1. Robinson, A. J. and Judd, R. L., 2001, 'Bubble Growth in a Uniform and Spatially Distributed Temperature Field,' Int. J. of Heat Mass Transfer, Vol. 44, pp. 2699-2710 
  2. Han, C. H. and Griffith, P., 1965, 'The Mechanism of Heat Transfer in Nucleate Pool Boiling-Part I Bubble Initiation, Growth and Departure,' Int. J. Heat Mass Transfer, Vol. 8, pp. 887-904 
  3. Cole, R. and Shulman, H. L., 1966, 'Bubble Growth Rates at High Jakob Numbers,' Int. J. Heat Mass Transfer, Vol. 9, pp. 1377-1390 
  4. Rule, T. D. and Kim, J., 1999, 'Heat Transfer Behavior on Small Horizontal Heaters During Pool Boiling,' J. of Heat Transfer, Vol. 121, No.2, pp. 386-393 
  5. Lee, J., Kim, J. and Kiger, K. T., 2001, 'Time-and Space-Resolved Heat Transfer Characteristics of Single Droplet Cooling using Microscale Heater Arrays,' Int. J. of Heat and Fluid Flow, Vol. 22, pp. 188-200 
  6. Kim, J., Benton, J. F. and Wisniewski, D., 2002, 'Pool Boiling Heat Transfer on Small Heaters: Effect of Gravity and Subcooling,' Int. J. of Heat and Mass Transfer, Vol. 45, pp. 3919-3932 
  7. Bae, S. W., Lee, H. C. and Kim, M. H., 2000, 'Wall Heat Flux Behavior of Nucleate Pool Boiling Under a Constant Temperature Condition in a Binary Mixture System,' Trans. of the KSME (B), Vol. 24, No.9, pp. 1239-1246 
  8. Rayleigh, J. W. S., 1917, 'On the Pressure Developed in a Liquid During the Collapse of a Spherical Cavity,' Philos. Mag., Vol. 34, pp. 94-98 
  9. 'Boiling Phenomena' by S. van Stralen, 1979, McGraw-Hill 
  10. Plesset, M. S. and Zwick, S. A., 1954, 'The Growth of Vapor Bubbles in Superheated Liquids,' J. of Applied Physics, Vol. 25, No. 4, pp. 493-500 
  11. Forster, H. K. and Zuber, N., 1954, 'Growth of a Vapor Bubble in a Superheated Liquid,' Journal of Applied Physics, Vol. 25, pp. 474-478 
  12. Mikic, B. B. and Rohsenow, W. M., 1969, 'Bubble Growth Rates in Non-Uniform Temperature Field,' Progress in Heat and Mass Transfer II, pp. 283-293 
  13. Mikic, B. B., Rohsenow, W. M. and Griffith, P., 1970, 'On Bubble Growth Rates,' Int. J. Heat Mass Transfer, Vol. 13, pp. 657-666 
  14. Zuber, N., 1961, 'The Dynamics of Vapor Bubbles in Nonuniform Temperature Fields,' Int. J. Heat Mass Transfer, Vol. 2, pp. 83-98 
  15. Sernas, V. and Hooper, F. C., 1969, 'The Initial Vapor Bubble Growth on a Heated Wall During Nucleate Boiling,' Int. J. Heat Mass Transfer, Vol. 12, pp. 1627-1639 
  16. Hooper, F. C. and Abdelmessih, A. H., 1966, 3rd Intl. Heat Tr. Conf. Chicago 
  17. 'A Theoretical Study on Bubble Growth in Constant and Time-Dependent Pressure Fields' by T. Theofanous, L. Biasi, H. S. Isbin and H. Fauske, 1969, Chemical Engineering Science, Vol. 24, pp. 885-897 
  18. Lee, H. C., Oh, B. D., Bae, S. W. and Kim, M. H., 2003, 'Single Bubble Growth in Saturated Pool Boiling on a Constant Wall Temperature Surface,' Int. J. of Multiphase Flow, Vol. 29, No. 12, pp. 1857-1874 
  19. Bae, S. W., Kim, J. and Kim, M. H., 1999, 'Improved Technique to Measure Time and Space Resolved Heat Transfer Under Single Bubbles During Saturated Pool Boiling of FC-72,' Experimental Heat Transfer, Vol. 12, No. 3, pp. 265-279 
  20. Kim, J., Lee, H. C., Oh, B. D. and Kim, M. H., 2004, 'Effects of Bubble Shape Assumption on Single Bubble Growth Behavior in Nucleate Pool Boiling,' J. of Flow Visualization and Image Processing, Vol. 11, pp. 1-15 
  21. Fontana, D. M., 1972, 'Simultaneous Measurement of Bubble Growth Rate and Thermal Flux from the Heating Wall to the Boiling Fluid near the Nucleation Site,' Int. J. Heat Mass Transfer, Vol. 15, pp. 707-720 
  22. Koffman, L. D. and Plesset, M. S., 1983, 'Experimental Observation of the Microlayer in Vapor Bubble Growth on a Heated Solid,' J. of Heat Transfer, Vol. 105, pp. 625-632 
  23. van Stralen, S. J. D., Sohal, M. S., Cole, R. and Sluyter, W. M., 1975, 'Bubble Growth Rates in Pure and Binary Systems: Combined Effect of Relaxation and Evaporation Microlayers,' Int. J. Heat Mass Transfer, Vol. 18, pp. 453-467 

이 논문을 인용한 문헌 (3)

  1. Kim Jeong bae ; Lee Han Choon ; Kim Moo Hwan 2005. "Wall Superheat Effect on Single Bubble Growth During Nucleate Boiling at Saturated Pool" 大韓機械學會論文集. Transactions of the Korean Society of Mechanical Engineers. B. B, 29(5): 633~642 
  2. Kim Jeong Bae ; Lee Han Choon ; Kim Moo Hwan 2005. "Study on the characteristics During Saturated Pool Nucleate Boiling of Refrigennt Binary Mixtures" 大韓機械學會論文集. Transactions of the Korean Society of Mechanical Engineers. B. B, 29(5): 643~652 
  3. 2006. "" Journal of mechanical science and technology, 20(5): 692~709 


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